US7968839B2 - Miniaturized optical tweezers based on high-NA micro-mirrors - Google Patents
Miniaturized optical tweezers based on high-NA micro-mirrors Download PDFInfo
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- US7968839B2 US7968839B2 US12/375,058 US37505807A US7968839B2 US 7968839 B2 US7968839 B2 US 7968839B2 US 37505807 A US37505807 A US 37505807A US 7968839 B2 US7968839 B2 US 7968839B2
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- G—PHYSICS
- G21—NUCLEAR PHYSICS; NUCLEAR ENGINEERING
- G21K—TECHNIQUES FOR HANDLING PARTICLES OR IONISING RADIATION NOT OTHERWISE PROVIDED FOR; IRRADIATION DEVICES; GAMMA RAY OR X-RAY MICROSCOPES
- G21K1/00—Arrangements for handling particles or ionising radiation, e.g. focusing or moderating
- G21K1/006—Manipulation of neutral particles by using radiation pressure, e.g. optical levitation
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- a highly non-conventional approach for creating arrays of optical traps would consist in using arrays of micro-optical elements. Provided that each of these micro-optical elements may generate its own optical trap, the number of traps may be increased at will simply by increasing the number of the said micro-optical elements. Another particular advantage of such an approach would be that the micro-optical elements may be mass produced in a parallel fashion using micro-fabrication techniques and also replicated by, e.g. mold casting approaches, to reach extremely low production costs.
- an array of focusing high-NA micro-mirrors is used to generate an array of optical tweezers, with no need for high-NA objective lenses as in conventional optical tweezers. Thanks to the high achievable NA, each micro-mirror is capable of focusing the light so tightly and with such a low level of aberration that an array of three dimensional single-beam optical traps (optical tweezers) is created, with no need for any microscope objective lens.
- FIG. 4 illustrates another embodiment for multiple optical trapping using an array of focusing micro-mirrors in combination with an array of VCSEL.
- FIG. 6 illustrates how the observation of trapped particles can be performed using a microscope objective, and how high-NA light-signals detection from the trapped particles can be achieved thanks to the micro-mirrors.
- the core of the present invention lies in the use of reflective instead of refractive or diffractive micro-optical components. While refractive and diffractive focusing micro-optical components can only achieve relatively limited numerical apertures (typically NA ⁇ 0.5), reflective focusing micro-mirrors easily allow reaching very high NAs.
- focusing mirrors can be used to focus light at high-NA is not new by itself.
- a parabolic mirror focuses a plane wave traveling along the optical axis to one point without aberrations in the geometrical optics approximation, and in this sense it is an ideal focusing device.
- parabolic mirrors are not very frequent for microscopy and imaging because slight deviations of the incident beam from the optical axis or from parallelism give rise to huge aberrations, especially for a high-NA mirror, resulting in a very small field of view.
- the classical imaging devices for microscopy are objective lenses (being a system composed of multiple lenses) that provide an excellent resolution all over a wide field of view resulting from the high degree of aberration correction combined with the high achievable NA.
- focusing mirrors with very modest curvatures can already offer extremely high NAs.
- a miniaturized focusing mirror has a four to six times higher NA than a refractive microlens characterized by the same geometry. This is illustrated in FIG. 1 , where the focusing geometry of a single plano-convex lens is compared with the focusing geometry of an air-immersed and solid-immersed focusing, concave micro-mirror.
- FIG. 1 a illustrates the focusing geometry of a single plano-convex lens, characterized by its cross-sectional radius r max , its radius-of-curvature R, and the refractive index n s of the substrate material composing the lens.
- the focal length of a plano-convex lens is approximately given by f L ⁇ R/(n s ⁇ 1).
- FIG. 1 c illustrates how the NA of the mirrors can further be increased by immersing the mirror in a glass substrate characterized by a relatively high refractive index n s (n s >n m ).
- n s refractive index
- the reflection angle ⁇ is unchanged, but because of the high refractive index n s , the numerical aperture NA ⁇ n s ⁇ is increased with respect to the NA of an air or water-immersed mirror.
- the ray crosses the interface passing from n s to n m
- the angle between the ray and the optical axis changes from ⁇ to ⁇ ′.
- the NA is maintained at the higher value imposed by the high refractive index substrate, which is simply a consequence of the definition of the numerical aperture and Snell's law.
- the solid-immersed mirror of FIG. 1 c has a six times higher NA than the plano-convex lens illustrated in FIG. 1 a , although their cross-sectional radius r max and radius-of-curvature R are strictly the same.
- n m 1
- n s 10.56
- the lower-limit numerical aperture for three dimensional optical trapping NA ⁇ 0.75, horizontal dashed line
- NAs ratio between the parabolic mirror and the plano-convex lens is somewhat reduced with respect to what deduced from the paraxial approximations (due to the non-linearity of equation (4)), but still exceeds five for solid-immersed mirrors in many practical cases.
- the cross-sectional shape of the micro-mirrors is chosen to be parabolic.
- a single collimated light beam 1 from a laser source 2 first crosses a clear optical window 3 composing one of the walls of a fluid chamber 4 , containing a suspension of dielectric particles 5 to be trapped.
- the collimated light beam 1 is reflected on the surface 6 of the array of micro-mirrors 7 placed at the opposite side of the fluid chamber, causing the plane wave to be transformed into a multitude of highly converging electromagnetic waves 8 .
- the focus 9 of each of these highly converging waves coincides to an optical tweezers 10 .
- a parabolic profile is chosen because this cross-sectional profile allows the incoming plane wave 1 to be focused with the minimal aberration.
- Using mirrors with a spherical cross sectional profile would introduce unwanted spherical aberration in the system.
- FIG. 5 A somewhat different embodiment is illustrated in FIG. 5 .
- the micro-mirrors 6 are embedded in a substrate 13 characterized by a refractive index nS (similarly as in FIG. 1 c ).
- the laser beam 12 produced by each VCSEL crosses a multitude of refractive index interfaces (n 0 ⁇ n w ⁇ n m ⁇ n s ) at non-normal incidence before being reflected by the mirror surface 6 , and one more interface (n s ⁇ n m ) after being focused backwards by the mirror.
- These refractive index interfaces introduce a certain amount of spherical aberration into the optical system.
- spherical aberrations can advantageously be integrated in the cross-sectional shape of the micro-mirrors, in order to reach the best possible focused laser beam characteristics for optical trapping.
- a correction to these aberrations can advantageously be integrated in the cross-sectional shape of the micro-mirrors, in order to reach the best possible focused laser beam characteristics for optical trapping.
- This profile will typically be aspherical, although spherical profiles may be used in certain configurations.
- State-of-the-art micro-optics manufacturing techniques e.g. fabrication of microlenses by photolithography, resist reflow, followed by reactive ion etching allow controlling the cross-sectional profiles of refractive microlenses with very high accuracy.
- Observation or collection of light signals from the trapped particles can be achieved using a microscope objective lens, using secondary micro-optics, or taking advantage of the high-NA micro-mirrors.
- FIG. 5 illustrates the use of secondary micro-optics for light-signal collection from the trapped particles.
- the mirrors being embedded into the substrate 13 , the refractive index (n s ) is equal on both sides of the mirrors.
- the reflecting surface 6 of the focusing mirrors is at least partially transparent to wavelengths different than the wavelength of the laser used for optical trapping, part of the light signals 14 emitted by the trapped particles may cross the mirrors without being deflected.
- a secondary micro-optics 15 e.g a micro-lens array
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Abstract
Description
NAL≈(n s−1)r max /R (1)
NAM≈2n m r max /R (2)
Therefore, the ratio of NAs between a focusing mirror and a plano-convex lens characterized by the same geometry (same rmax and R) is given by
NAM/NAL≈2n m /n s−1 (3)
If the mirror is immersed in air (nm=1), and supposing that the plano-convex lens is composed of a standard optical glass characterized by ns=10.5, the ratio of NAs equals to four, i.e. numerical aperture of the mirror is four times higher than that of the plano-convex lens.
NAPM =n sin [2arctan(r max /R)] (4)
where n may either be equal to ns or nm, depending if the mirror is immersed in a high refractive index substrate or not. Equation (4) still holds for parabolic mirrors characterized by high-NA.
- [1] A. Ashkin. Acceleration and trapping of particles by radiation pressure. Phys. Rev. Lett., 24:156, 1970.
- [2] A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu. Observation of a single-beam gradient force optical trap for dielectric particles. Opt. Lett., 11:288-290, 1986.
- [3] A. Ashkin, J. M. Dziedzic, and T. Yamane. Optical trapping and manipulation of single cells using infrared-laser beams. Nature, 330:769-771, 1987.
- [4] A. Constable, J. Kim, J. Mervis, F. Zarinetchi, and M. Prentiss. Demonstration of a fiberoptic light-force trap. Opt. Lett., 18:1867-1869, 1993.
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- [8] H. Ottevaere, R. Cox, H. P. Herzig, T. Miyashita, K. Naessens, M. Taghizadeh, R. Volkel, H. J. Woo, and H. Thienpont. Comparing glass and plastic refractive microlenses fabricated with different technologies. J. Opt. A—Pure Appl. Op., 8:S407-S429, 2006.
- [9] M. Reicherter, T. Haist, E. U. Wagemann, and H. J. Tiziani. Optical particle trapping with computer-generated holograms written on a liquid-crystal display. Opt. Lett., 24:608-610, 1999.
- [10] K. Sasaki, M. Koshioka, H. Misawa, N. Kitamura, and H. Masuhara. Pattern-formation and flow-control of fine particles by laser-scanning micromanipulation. Opt. Lett., 16:1463-1465, 1991.
- [11] C. H. Sow, A. A. Bettiol, Y. Y. G. Lee, F. C. Cheong, C. T. Lim, and F. Watt. Multiple-spot optical tweezers created with microlens arrays fabricated by proton beam writing. Appl. Phys. B, 78:705-709, 2004.
- [12] P. Zemanek, A. Jonas, L. Sramek, and M. Liska. Optical trapping of rayleigh particles using a gaussian standing wave. Opt. Commun., 151:273-285, 1998.
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IB2006052567 | 2006-07-26 | ||
PCT/IB2007/052955 WO2008012767A2 (en) | 2006-07-26 | 2007-07-25 | Miniaturized optical tweezers based on high-na micro-mirrors |
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US20100019136A1 (en) | 2010-01-28 |
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EP2047479A2 (en) | 2009-04-15 |
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